Wigner’s Space-Time Symmetries Based on the Two-by-Two Matrices of the Damped Harmonic Oscillators and the Poincaré Sphere

Wigner’s Space-Time Symmetries Based on the Two-by-Two Matrices of the Damped Harmonic Oscillators and the Poincaré Sphere

The second-order differential equation for a damped harmonic oscillator can be converted to two coupled first-order equations, with two two-by-two matrices leading to the group Sp(2). It is shown that this oscillator system contains the essential features of Wigner’s little groups dictating the inte...

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Bibliographic Details
Main Authors: Sibel Başkal, Young S. Kim, Marilyn E. Noz
Format: Article
Language:English
Published: MDPI AG 2014-06-01
Series:Symmetry
Subjects:
damped harmonic oscillators
coupled first-order equations
unimodular matrices
Wigner’s little groups
Poincaré sphere
Sp(2) group
SL(2, c) group
gauge invariance
neutrinos
photons
Online Access:http://www.mdpi.com/2073-8994/6/3/473

Internet

http://www.mdpi.com/2073-8994/6/3/473

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